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arxiv: 0708.1290 · v2 · submitted 2007-08-09 · 🧮 math.OA · math.GR

On Almost Representations of Property (T) Groups

classification 🧮 math.OA math.GR
keywords almostdichotomygroupsinvariantpropertyrepresentationsconditioneither
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Property (T) for groups means a dichotomy: a representation either has an invariant vector or all vectors are far from being invariant. We show that, under a stronger condition of A.Zuk, a similar dichotomy holds for almost representations as well.

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